Determine all possible triplet(s) (P, Q, N) of positive integers, with P < Q and N ≥ 3, such that the decimal representations of P^N and Q^N will together contain each of the digits 0 to 9 exactly once. Neither P^N nor Q^N can contain any leading zero.

For N = 3 and P < Q < 1000 the only solution I found was for P=21 and Q=93 using cubes 9261 and 804357.  I'll now look at the earlier posting, and decide whether to continue exploring.

Posted by ed bottemiller on 2009-05-12 13:50:34